A conformal bootstrap approach to critical percolation in two dimensions

Marco Picco, Sylvain Ribault, Raoul Santachiara

SciPost Phys. 1, 009 (2016) · published 27 October 2016


We study four-point functions of critical percolation in two dimensions, and more generally of the Potts model. We propose an exact ansatz for the spectrum: an infinite, discrete and non-diagonal combination of representations of the Virasoro algebra. Based on this ansatz, we compute four-point functions using a numerical conformal bootstrap approach. The results agree with Monte-Carlo computations of connectivities of random clusters.

Cited by 23

Crossref Cited-by

Ontology / Topics

See full Ontology or Topics database.

Conformal bootstrap Critical percolation Monte-Carlo simulations Percolation Potts model Two-dimensional systems Virasoro algebras

Authors / Affiliations: mappings to Contributors and Organizations

See all Organizations.